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Fundamental Limits to Near-Field Optical Response over Any Bandwidth

机译:在任何带宽上都有近场光学响应的​​基本限制

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We develop an analytical framework to derive upper bounds to light-matter interactions in the optical near field, where applications ranging from spontaneous-emission amplification to greater-than-blackbody heat transfer show transformative potential. Our framework connects the classic complex-analytic properties of causal fields with newly developed energy-conservation principles, resulting in a new class of power-bandwidth limits . These limits demonstrate the possibility of orders-of-magnitude enhancement in near-field optical response with the right combination of material and geometry. At specific frequency and bandwidth combinations, the bounds can be closely approached by canonical plasmonic geometries, with the opportunity for new designs to emerge away from those frequency ranges. Embedded in the bounds is a material “figure of merit,” which determines the maximum response of any material (metal, dielectric, bulk, 2D, etc.), for any frequency and bandwidth. Our bounds on local density of states represent maximal spontaneous-emission enhancements, our bounds on cross density of states limit electromagnetic-field correlations, and our bounds on radiative heat transfer (RHT) represent the first such analytical rule, revealing fundamental limits relative to the classical Stefan-Boltzmann law.
机译:我们开发了一个分析框架,以导出光学近场中的浅品相互作用,其中应用范围从自发发射放大到大于黑体传热显示转化潜力。我们的框架通过新开发的节能原则连接了因果领域的经典复杂分析属性,从而产生了新的电力带宽限制。这些限制展示了近场光学响应的​​数量级增强的可能性,具有右侧材料和几何形状。在特定的频率和带宽组合中,可以通过规范等离子体几何形状紧密地接近界限,这是新设计的机会,从这些频率范围中出现。嵌入在界限中是一种“优点形态图”,它决定了任何材料(金属,电介质,散装,2D等)的最大响应,用于任何频率和带宽。我们在局部密度的界限代表了最大的自发排放增强,我们的横向密度限制了电磁场相关的界限,以及我们对辐射传热(RHT)的界限代表了第一个这样的分析规则,揭示了相同的基本限制古典斯特凡博尔兹曼法。

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